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Finding the Third Proportional to 149,622 and 223,918

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Solution

The third proportional to 149,622 and 223,918 is: 335,106.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,622 : 223,918 = 223,918 : x
  2. Step 2: Convert to fraction form
    149,622/223,918 = 223,918/x
  3. Step 3: Cross multiply
    149,622x = 223,918 × 223,918
  4. Step 4: Simplify right side
    149,622x = 50,139,270,724
  5. Step 5: Solve for x
    x = 50,139,270,724/149,622
  6. Step 6: Final answer
    x = 335,106.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.